Question

Two angles of a quadrilateral measure is 95° and 105° respectively the other two angles are in ratio 3:5 find the measure of the other two angles

Answer 1

Given

$\bold{Measure \ of \ one \ angle} = 95 ^\circ$

$\bold{Measure \ of \ second \ angle} = 105 ^\circ$

$\bold{Let \ the \ other \ angles \ be \ 3x \ and \ 5x \ respectively}$

SOMETHING YOU NEED TO KNOW

$\bold { Sum \ of \ angles \ of \ the \ quadrilateral} = 360 ^\circ$

$\implies 3x+5x+95+105=360$

$\implies 8x+200=360$

$\implies 8x=360-200$

$\implies 8x=160$

$\implies x = 20 ^\circ$

$\implies 3x = 3 \times 20 = 60 ^\circ\\\implies 5x = 5 \times 20 = 100 ^\circ$

$\boxed{\boxed{\bold{Therefore, \ the \ other \ 2 \ angles \ are \ 60 ^\circ \ and \ 100 ^\circ \ respectively}}}}}}}}}$